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MATH 162-02 Feb. 4, 2002 Review Problems for EXAM I 1. Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. a. 80o b. 512o c. 147 o 2. Sketch each angle in standard position and find the angle of smallest positive measure coterminal with each angle. a. 1000o b. 1000o 3. Convert the angle measure 34o51'35" to decimal degree. 4. Convert the angle measure 102.3771o to degrees, minutes, and seconds. 5. If (5, 9) is a point on the terminal side of an angle in standard position, find the six trigonometric function values of the angle. 6. The terminal side of an angle in standard position is on the line with equation 2 x 5 y 0 and is in quadrant III, find the six trigonometric function values of the angle. 7. Identify the quadrant that contains the terminal side of the angle satisfying sin A 0 and cos A 0 . 8. Decide whether the following is possible or impossible. a. sin 2 b. csc 10 c. tan 1000 d. sin cos 2 2 e. sin A cos A 0.5 9. If the angle A is in quadrant III and tan A 95 , find the other trigonometric function values. 10. Consider a right triangle in standard notation. If a 5 and c 9 , find the trigonometric function values of the angle A. 11. Write each expression in terms of its cofunction of an acute angle. a. sin 42o b. cot( 20o ) 12. Find the exact values of the six trigonometric function values for each angle. a. 120o b. 330o c. 225o 13. Find a solution to each equation. a. sin cos b. sec(a 10o ) csc(a 20o ) 14. Calculate each function values. a. sin 40o15' b. tan(450o 21') c. sec150o 49 ' 15. Find an acute angle satisfying each. a. cos 0.5321 b. tan 5.3124